# A gondola can carry 20 skiers, with a total mass of up

Chapter 7, Problem 7.12

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QUESTION:

A gondola can carry 20 skiers, with a total mass of up to2250 kg. The gondola ascends at a constant speed from the baseof a mountain, at 2150 m, to the summit at 3345 m. (a) Howmuch work does the motor do in moving a full gondola up themountain? (b) How much work does gravity do on thegondola? (c) If the motor is capable of generating 10% morework than found in (a), what is the acceleration of the gondola?

QUESTION:

A gondola can carry 20 skiers, with a total mass of up to2250 kg. The gondola ascends at a constant speed from the baseof a mountain, at 2150 m, to the summit at 3345 m. (a) Howmuch work does the motor do in moving a full gondola up themountain? (b) How much work does gravity do on thegondola? (c) If the motor is capable of generating 10% morework than found in (a), what is the acceleration of the gondola?

(a) The work done by the motor is equal to the potential energy of the gondola and its passengers, which is equal to mass times the height multiplied by gravitational acceleration. The work is 1,846,195 J (2250